Eric Chung's web page Eric T. Chung is a Professor in the Department of Mathematics in The Chinese University of Hong Kong [cuhk web]. He obtained PhD degree from University of California at Los Angeles [ucla web]. His Ph.D. thesis advisor is Prof. Bjorn Engquist [his info]. His research interests are Discontinuous Galerkin Methods, Computational Wave Propagation, Fluid Flow in Heterogeneous Media, Multiscale Model Reduction Techniques, Adaptivity for Multiscale Problems, Domain Decomposition Methods, Seismic Imaging and Travel Time Tomography. Education: - PhD (2005), University of California at Los Angeles, Advisor: Bjorn Engquist
- MPhil (2000), The Chinese University of Hong Kong
- BSc (1998), The Chinese University of Hong Kong
Experience: - August 2022 - present: Outstanding Fellow of the Faculty of Science, The Chinese University of Hong Kong
- August 2017 - present: Professor, Department of Mathematics, The Chinese University of Hong Kong
- August 2021 - July 2023: Deputy Chair, Department of Mathematics, The Chinese University of Hong Kong
- January 2015 - December 2020: Adjunct Professsor, Department of Mathematics, Texas A&M University
- July 2014 - July 2017: Associate Professor, Department of Mathematics, The Chinese University of Hong Kong
- July 2008 - June 2014: Assistant Professor, Department of Mathematics, The Chinese University of Hong Kong
- July 2006 - June 2008: von Karman Instructor, Applied and Computational Mathematics, California Institute of Technology
- July 2005 - June 2006: Visiting Assistant Professor, Mathematics Department, University of California at Irvine
- July 2005 - August 2005: Faculty mentor, IPAM, UCLA
Current Research Interest: - Generalized multiscale finite element methods (GMsFEM)
- GMsFEM for time-dependent problems, and adaptivity
- GMsFEM for convection-diffusion equations, and stabilization techniques
- Space-time multiscale methods
- Nonlocal multicontinua upscaling (NLMC)
- Nonlinear upscaling for transport equations
- Discontinuous Galerkin methods for wave propagation and fluid flow
- Adaptive coarse spaces for domain decomposition methods
- Data-driven methods for multiscale problems
- Data-driven techniques for domain decomposition
Editorial Board: - SIAM Multiscale Modeling and Simulation (January 2023 - present)
- Numerical Methods for Partial Differential Equations (December 2022 - present)
- Applied Mathematics for Modern Challenges (October 2022 - present)
- Frontier in Applied Mathematics and Statistics (Specialty Chief Editor, March 2022 - present)
- Mathematics and Computers in Simulation (September 2020 - present)
- MDPI Mathematical and Computational Applications (August 2020 - present)
- Taiwanese Journal of Mathematics (August 2020 - present)
- Computers & Mathematics with Applications (January 2018 - present)
- Journal of Computational and Applied Mathematics (April 2011 - present)
Award and honor: - Outstanding Fellow of the Faculty of Science, 2022 - present
- ICCM Silver Medal of Mathematics 2022
- Plenary speaker of SIAM Conference on Mathematical and Computational Issues in the Geosciences (GS21) 2021
- Plenary speaker of the 26th International Domain Decomposition Conference (DD26) 2020
- Plenary speaker of the International Congress of Chinese Mathematicians 2019
- Hong Kong Mathematical Society Young Scholar Award 2017
Submitted Paper: - Jiuhua Hu, Wing Tat Leung, Eric Chung, Yalchin Efendiev
and Sai-Mang Pun.
*Space-time non-local multi-continua upscaling for parabolic equations with moving channelized media.* - Yiran Wang, Eric Chung and Shuyu Sun.
*Physics-preserving IMPES based multiscale methods for immiscible two-phase flow in highly heterogeneous porous media.* - Shubin Fu, Guanglian Li and Eric Chung.
*Wavelet-based edge multiscale finite element methods for singularly-perturbed convection-diffusion equations.* - Wei Xie, Yin Yang, Eric Chung and Yunqing Huang.
*CEM-GMsFEM for Poisson equations in heterogeneous perforated domains.* - Xingguang Jin, Eric Chung and Changqing Ye.
*Robust multiscale methods for Helmholtz equations in high contrast heterogeneous media.* - Zishang Li, Changqing Ye and Eric Chung.
*An iterative constraint energy minimizing generalized multiscale finite element method for contact problem.* - Changqing Ye, Xingguang Jin, Patrick Ciarlet Jr. and Eric Chung.
*Multiscale modeling for a class of high-contrast heterogeneous sign-changing problems.* - Po Chai Wong, Eric Chung, Changqing Ye and Lina Zhao.
*Constraint energy minimizing generalized multiscale finite element method for convection diffusion equations with inhomogeneous boundary conditions.*
Publication: - Eric T. Chung and Lina Zhao.
*The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits*Accepted by Mathematics of Computation.
- Zhongqian Wang, Zishang Li and Eric Chung.
*A discontinuous Galerkin based multiscale method for heterogeneous elastic wave equation.*Journal of Computational Physics.
- Changqing Ye, Shubin Fu, Eric Chung and Jizu Huang.
*A robust two-level overlapping preconditioner for Darcy flow in high-contrast media.*Accepted by SIAM Journal on Scientific Computing.
- Changqing Ye, Shubin Fu and Eric T. Chung.
*A fast cosine transformation accelerated method for predicting effective thermal conductivity.*Computer Methods for Applied Mechanics and Engineering, 426 (2024), 116982.
- Lina Zhao and Eric Chung.
*A posteriori error estimates for the mortar staggered DG method.*Communications on Analysis and Computation, 2 (2024), pp. 110-127.
- Eric Chung, Yalchin Efendiev, Juan Galvis and Wing Tat Leung.
*Multicontinuum homogenization. General theory and applications.*Journal of Computational Physics, 510 (2024), 112980.
- Leonardo A. Poveda, Juan Galvis and Eric Chung.
*A second-order exponential integration constraint energy minimiizing generalized multiscale method for parabolic problems.*Journal of Computational Physics, 502 (2024), 112796.
- Tsz Fung Yu, Eric Chung, Charles Cheung and Lina Zhao.
*Learning computational upscaling models for a class of convection-diffusion equations.*Journal of Computational and Applied Mathematics, 445 (2024), 115814.
- Shubin Fu, Eric Chung and Lina Zhao.
*An adaptive preconditioner for three dimensional single phase compressible flow in highly heterogeneous porous media.*SIAM Multiscale Modeling and Simulation, 22 (2024), pp. 155-177.
- Leonardo A. Poveda, Shubin Fu, Eric Chung and Lina Zhao.
*Convergence of the CEM-GMsFEM for compressible flow in highly heterogeneous media.*Computers and Mathematics with Applications, 151 (2024), pp. 153-163.
- Changqing Ye, Eric T. Chung and Junzhi Cui.
*Homogenization with quasistatic Tresca's friction law: qualitative and quantitative results.*Chinese Annals of Mathematics, Series B, 44 (2023), pp. 781-802.
- Shubin Fu, Eric Chung and Lina Zhao.
*An efficient multiscale preconditioner for large-scale highly heterogeneous flow.*SIAM Journal on Scientific Computing, 46 (2024), pp. S352-S377.
- Zhongqian Wang, Changqing Ye and Eric T. Chung.
*A multiscale method for inhomogeneous elastic problems with high contrast coefficients.*Journal of Computational and Applied Mathematics, 115397 (2023).
- Eric Chung, Yalchin Efendiev, Wing Tat Leung, Sai-Mang Pun
and Zecheng Zhang.
*Multi-agent reinforcement learning aided sampling algorithms for a class of multiscale inverse problems.*Journal of Scientific Computing, 96:55 (2023).
- Yiran Wang, Eric Chung and Shubin Fu.
*A locally conservative multiscale method for stochastic highly heterogeneous flow.*Computer Methods in Applied Mechanics and Engineering, 410 (2023), 114977.
- Lina Zhao and Eric Chung.
*Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation.*SIAM Multiscale Modeling and Simulation, 21 (2023), pp. 735-752.
- Changqing Ye and Eric Chung.
*Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics.*BIT Numerical Mathematics, 63 (2023), 11.
- Uygulaana Kalachikova, Maria Vasilyeva, Isaac Harris
and Eric T. Chung.
*Generalized multiscale finite element method for scattering problem in heterogeneous media.*Journal of Computational and Applied Mathematics, 424 (2023), 114977.
- Lina Zhao, Eun-Jae Park and Eric Chung.
*A pressure robust staggered discontinuous Galerkin method for the Stokes equations.*Computers and Mathematics with Applications, 128 (2022), pp. 163-179.
- Changqing Ye and Eric T. Chung.
*Constraint energy minimizing generalized multiscale finite element method for inhomogeneous boundary value problems with high contrast coefficients.*SIAM Multiscale Modeling and Simulation, 21 (2023), pp. 194-217.
- Zhongqian Wang, Shubin Fu and Eric Chung.
*Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems.*Computer Methods in Applied Mechanics and Engineering, 403 (2023), 115713.
- Lina Zhao and Eric Chung.
*An adaptive discontinuous method for the Darcy system in fractured porous media.*Computational Geosciences, 26 (2022), pp. 1581-1596.
- Lina Zhao, Eric Chung and Eun-Jae Park.
*Locking free staggered DG method for the Biot system of poroelasticity on general polygonal meshes.*IMA Journal of Numerical Analysis, (2022).
- Yiran Wang, Eric Chung and Shubin Fu.
*A deep learning based reduced order modeling for stochastic underground flow problems.*Journal of Computational Physics, 467 (2022), 111449.
- Denis Spiridonov, Maria Vasilyeva, Min Wang and Eric T. Chung.
*Mixed generalized multiscale finite element method for flow problem in thin domains.*Journal of Computational and Applied Mathematics, 416 (2022), 114577.
- Tak Shing Au Yueng, Ka Chun Cheung, Eric T. Chung, Shubin Fu
and Jianliang Qian.
*Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media.*Journal of Computational Physics, 465 (2022), 111380.
- Shubin Fu, Eric Chung and Lina Zhao.
*Generalized multiscale finite element method for highly heterogeneous compressible flow.*SIAM Multiscale Modeling and Simulation, 20 (2022), pp. 1437-1467.
- Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
and Petr N. Vabishchevich.
*Contrast-independent partially explicit time discretizations for multiscale wave problems.*Journal of Computational Physics, 466 (2022), 111226.
- Yanfang Yang, Shubin Fu and Eric Chung.
*An adaptive generalized multiscale finite element method based two-grid preconditioner for large scale high-contrast linear elasticity problems.*Journal of Scientific Computing, 92 (2022).
- Eric Chung, Yalchin Efendiev, Sai-Mang Pun and Zecheng Zhang.
*Computational multiscale method for parabolic wave approximations in heterogeneous media.*Applied Mathematics and Computation, 425 (2022), 127044.
- Yiran Wang, Eric Chung and Shubin Fu.
*A local-global generalized multiscale finite element method for highly heterogeneous stochastic groundwater flow problems.*Computer Methods in Applied Mechanics and Engineering, 392 (2022), 114688.
- Lina Zhao, Dohyun Kim, Eun-Jae Park and Eric Chung.
*Staggered DG method with small edges for Darcy flows in fractured porous media.*Journal of Scientific Computing, 90 (2022).
- Dmitry Ammosov, Maria Vasilyeva and Eric T. Chung.
*Generalized multiscale finite element method for thermoporoelasticity problems in heterogeneous and fractured media.*Journal of Computational and Applied Mathematics, 407 (2022), 113995.
- Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Wenyuan Li.
*Contrast-independent partially-explicit time discretizations for nonlinear multiscale problems.*Mathematics, 9 (2021).
- Eric T. Chung, Uygulaana Kalachikova, Maria Vasilyeva
and Valentin Alekseev.
*Generalized multiscale discontinuous Galerkin method for convection-diffusion equation in perforated media.*Mathematics and Computers in Simulation, 193 (2022), pp. 666-688.
- Tak Shing Au Yeung, Eric T. Chung and Simon See.
*A deep learning based nonlinear upscaling method for transport equations.*Electronic Transactions on Numerical Analysis, 56 (2022), pp. 187-208.
- Siu Wun Cheung, Eric Chung, Yalchin Efendiev, Wing Tat Leung
and Sai-Mang Pun.
*Iterative oversampling technique for constraint energy minimizing generalized multiscale finite element method in the mixed formulation.*Applied Mathematics and Computation, 415 (2022), 126622.
- Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev and Wing Tat Leung.
*Explicit and energy-conserving constraint energy minimizing generalized multiscale discontinuous Galerkin method for wave propagation in heterogeneous media.*SIAM Multiscale Modeling and Simulation, 19 (2021), pp. 1736-1759.
- Aleksei Tyrylgin, Maria Vasilyeva, Dmitry Ammosov,
Eric T. Chung and Yalchin Efendiev.
*Online coupled generalized multiscale finite element method for the poroelasticity problem in fractured and heterogeneous media.*Fluids, 6 (2021).
- Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
and Petr N. Vabishchevich.
*Contrast-independent partially explicit time discretizations for multiscale flow problems.*Journal of Computational Physics, 445 (2021), 110578.
- Xinliang Liu, Eric Chung and Lei Zhang.
*Iterated numerical homogenization for multi-scale elliptic equations with monotone nonlinearity.*SIAM Multiscale Modeling and Simulation, 19 (2021), pp. 1601-1632.
- Valentin Alekseev, Maria Vasilyeva, Uygulaana Kalachikova
and Eric T. Chung.
*DG-GMsFEM for problems in perforated domains with non-homogeneous boundary conditions.*MDPI Computation, 9 (2021).
- Denis Spiridonov, Maria Vasilyeva, Aleksei Tyrylgin and
Eric T. Chung.
*An online generalized multiscale finite element method for unsaturated filtration problem in fractured media.*MDPI Mathematics, 9 (2021).
- Maria Vasilyeva, Valentin Alekseev, Eric T. Chung,
Yalchin Efendiev.
*Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries.*Journal of Computational Physics, 442 (2021), 110512.
- Yiran Wang, Eric Chung, Shubin Fu and Michael Presho.
*Online conservative generalized multiscle finite element method for flow models.*Computational Geosciences, 25 (2021), pp. 1837-1853.
- Eric Chung, Hyea Hyun Kim, Ming Fai Lam and Lina Zhao.
*Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients.*MDPI Mathematical and Computational Applications, 26 (2021), 44.
- Zhengkang He, Eric T. Chung, Jie Chen and Zhangxin Chen.
*Adaptive generalized multiscale approximation of a mixed finite element method with velocity elimination.*Computational Geosciences, 25 (2021), pp. 1681-1708.
- Shubin Fu, Eric T. Chung and Guanglian Li.
*An edge multiscale interior penalty discontinuous Galerkin method for heterogeneous Helmholtz problems with large varying wavenumber.*Journal of Computational Physics, 441 (2021), 110387.
- Yiran Wang, Eric Chung and Lina Zhao.
*Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations.*Mathematics and Computers in Simulation, 188 (2021), pp. 455-475.
- Yiran Wang, Eric Chung and Shubin Fu.
*A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media.*Water Resources Research, 57 (2021).
- Boris Chetverushkin, Eric Chung, Yalchin Efendiev,
Sai-Mang Pun and Zecheng Zhang.
*Computational multiscale methods for quasi-gas dynamic equations.*Journal of Computational Physics, 440 (2021), 110352.
- Eric Chung, Wing Tat Leung, Sai-Mang Pun and Zecheng Zhang.
*A multi-stage deep learning based algorithm for multiscale model reduction.*Journal of Computational and Applied Mathematics, 394 (2021), 113506.
- Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung
and Ming-Cheng Shiue.
*An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface.*Applied Numerical Mathematics, 165 (2021), pp. 83-118.
- Zhengkang He, Eric T. Chung, Jie Chen and Zhangxin Chen.
*Generalized multiscle approximation of a multipoint flux mixed finite element method for Darcy-Forchheimer model.*Journal of Computational and Applied Mathematics, 391 (2021), 113466.
- Eric Chung, Kazufumi Ito and Masahiro Yamamoto.
*Least squares formulation for ill-posed inverse problems and applications.*Applicable Analysis, 2021.
- Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Maria Vasilyeva.
*Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales.*Computer Methods in Applied Mechanics and Engineering, 377 (2021), 113687.
- Xia Wang, Eric Chung, Shubin Fu and Zhaoqin Huang.
*Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media.*Journal of Computational and Applied Mathematics, 390 (2021), 113383.
- Jie Du, Eric Chung and Yang Yang.
*Maximum-Principle-Preserving local discontinuous Galerkin methods for Allen Cahn equations.*Communications on Applied Mathematics and Computation, 4 (2022), pp. 353-379.
- Eric Chung, Jiuhua Hu and Sai-Mang Pun.
*Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains.*Journal of Computational and Applied Mathematics, 389 (2021), 113327.
- Lina Zhao, Ming Fai Lam and Eric Chung.
*A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem.*Communications on Applied Mathematics and Computation, 4 (2022), pp. 205-226.
- Lina Zhao, Eun-Jae Park and Eric T. Chung.
*Staggered discontinuous Galerkin methods for the Helmholtz equations with large wave number.*Computers and Mathematics with Applications, 80 (2020), pp. 2676-2690.
- Lina Zhao, Eric Chung, Eun-Jae Park and Guanyu Zhou.
*Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems.*SIAM Journal on Numerical Analysis, 59 (2021), pp. 1-31.
- Uygulana Gavrilieva, Maria Vasilyeva and Eric Chung.
*Generalized multiscale finite element method for elastic wave propagation in the frequency domain.*Computation, 8 (2020), 63.
- Valentin Alekseev, Qili Tang, Maria Vasilyeva, Eric T. Chung
and Yalchin Efendiev.
*Mixed generalized multiscale finite element method for a simplified magnetohydrodynamics problem in perforated domains.*Computation, 8 (2020), 58.
- Zhaoqin Huang, Kai Nian, Jun Yao, Bin Wang, Huifang Hu,
Shiming Zhang and Eric Chung.
*A novel deep learning model with physical process information for prediction of flow behaviors in oil and gas reservoirs.*Journal of China University of Petroleum, 44 (2020).
- Aleksei Tyrylgin, Yaoyao Chen, Maria Vasilyeva and Eric T. Chung.
*Multiscale model reduction for the Allen-Cahn problem in perforated domains.*Journal of Computational and Applied Mathematics, 381 (2021), 113010.
- Denis Spiridonov, Maria Vasilyeva, Eric Chung, Yalchin Efendiev
and Raghavendra Jana.
*Multiscale model reduction of unsaturated flow problem in heterogeneous porous media with rough surface topography.*Mathematics, 8 (2020), 904.
- Shubin Fu, Eric Chung and Tina Mai.
*Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity.*Journal of Computational Physics, 417 (2020), 109569.
- Jie Du and Eric Chung.
*Mortar DG method with staggered hybridization for Rayleigh waves simulation.*Communications in Computatonal Physics, 29 (2021), pp. 111-127.
- Zecheng Zhang, Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*Learning algorithms for coarsening uncertainty space and applications to multiscale simulations.*Mathematics, 8 (2020), 720.
- Siu Wun Cheung, Eric Chung and Wing Tat Leung.
*Constraint energy minimizing generalized multiscale discontinuous Galerkin method.*Journal of Computational and Applied Mathematics, 380 (2020), 112960.
- Lina Zhao, Eric Chung and Ming Fai Lam.
*A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits.*Computer Methods in Applied Mechanics and Engineering, 364 (2020), 112986.
- Eric Chung and Sai-Mang Pun.
*Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM.*Journal of Computational Physics, 409 (2020), 109359.
- Maria Vasilyeva, Wing T. Leung, Eric T. Chung, Yalchin Efendiev
and Mary Wheeler.
*Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques.*Journal of Computational Physics, 412 (2020), 109323.
- Denis Spiridonov, Maria Vasilyeva and Eric T. Chung.
*Generalized multiscale finite element method for multicontinua unsaturated flow problems in fractured porous media.*Journal of Computational and Applied Mathematics, 370 (2020), 112594.
- Aleksei Tyrylgin, Maria Vasilyeva, Denis Spiridonov
and Eric T. Chung.
*Generalized multiscale finite element method for the poroelasticity problem in multicontinuum media.*Journal of Computational and Applied Mathematics, 374 (2020), 112783.
- Eric Chung, Yalchin Efendiev, Yanbo Li and Qin Li.
*Generalized multiscale finite element method for the steady state linear Boltzmann equation.*SIAM Multiscale Modeling and Simulation, 18 (2020), pp. 475-501.
- Yanfang Yang, Shubin Fu and Eric T. Chung.
*Online mixed multiscale finite element method with oversampling and its applications.*Journal of Scientific Computing, 82 (2020), 31.
- Denis Spiridonov, Jian Huang, Maria Vasilyeva, Yunqing Huang
and Eric T. Chung.
*Mixed generalized multiscale finite element method for Darcy-Forchheimer model.*Mathematics, 7 (2019), 1212.
- Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev,
Wing Tat Leung and Maria Vasilyeva.
*Constraint energy minimizing generalized multiscale finite element method for dual continuum model.*Communications in Mathematical Sciences, 18 (2020), pp.663-685.
- Jie Chen, Eric T. Chung, Zhengkang He and Shuyu Sun.
*Generalized multiscale approximation of mixed finite elements with velocity elimination for subsurface flow.*Journal of Computational Physics, 404 (2020), 109133.
- Eric T. Chung, Yalchin Efendiev and Wing Tat Leung.
*Multiscale stabilization for convection diffusion equations with heterogeneous velocity and diffusion coefficients.*Computers and Mathematics with Applications, 79 (2020), pp. 2336-2349.
- Hyea Hyun Kim, Eric T. Chung and Junxian Wang.
*A two-level overlapping Schwarz method using energy minimizing multiscale finite element functions.*Journal of Computational and Applied Mathematics, 370 (2020), 112600.
- Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Eduardo Gildin
and Yating Wang.
*Deep global model reduction learning in porous media flow simulation.*Computational Geosciences, 24 (2020), pp. 261-274.
- Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev
and Min Wang.
*Deep multiscale model learning.*Journal of Computational Physics, 406 (2020), 109071.
- Lina Zhao and Eric Chung.
*An analysis of the NLMC upscaling method for high contrast problems.*Journal of Computational and Applied Mathematics, 367 (2020), 112480.
- Wing T. Leung, Eric T. Chung, Yalchin Efendiev,
Maria Vasilyeva and Mary Wheeler.
*Space-time nonlinear upscaling framework using non-local multi-continuum approach.*International Journal for Multiscale Computational Engineering, 17 (2019), pp. 529-550.
- Shubin Fu, Kai Gao and Eric T. Chung.
*A high-order multiscale finite-element method for time-domain elastic wave modeling in strongly heterogeneous media.*Journal of Applied Geophysics, 170 (2019), 103852.
- Maria Vasilyeva, Eric T. Chung, Wing Tat Leung and Valentin Alekseev.
*Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models.*GEM International Journal on Geomathematics, 10 (2019), 23.
- Min Wang, Siu Wun Cheung, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev
and Mary Wheeler.
*Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction.*Journal of Computational Physics, 401 (2020), 108939.
- Dmitry Ammosov, Maria Vasilyeva, Masoud Babaei and Eric T. Chung.
*A coupled dual continuum and discrete fracture model for subsurface heat recovery with thermoporoelastic effects.*Mathematical Notes of NEFU, 26 (2019), pp. 93-105. [download] - Shubin Fu and Eric T. Chung.
*A local-global multiscale mortar mixed finite element method for multiphase transport in heterogeneous media.*Journal of Computational Physics, 399 (2019), 108906.
- Eric Chung and Sai-Mang Pun.
*Online adaptive basis enrichment for mixed CEM-GMsFEM.*SIAM Multiscale Modeling and Simulation, 17 (2019), 1103-1122.
- Guanyu Zhou, Takahito Kashiwabara, Issei Oikawa, Eric Chung
and Ming-Cheng Shiue.
*Some DG schemes for the Stokes-Darcy problem using P1/P1 element.*Japan Journal of Industrial and Applied Mathematics, 36 (2019), pp. 1101-1128.
- Min Wang, Siu Wun Cheung, Eric T. Chung, Maria Vasilyeva
and Yuhe Wang.
*Generalized multiscale multicontinuum model for fractured vuggy carbonate reservoirs.*Journal of Computational and Applied Mathematics, 366 (2020), 112370.
- Shubin Fu, Eric Chung and Guanglian Li.
*Edge multiscale methods for elliptic problems with heterogeneous coefficients.*Journal of Computational Physics, 396 (2019), pp. 228-242.
- Shubin Fu, Robert Altmann, Eric T. Chung, Roland Maier, Daniel
Peterseim and Sai-Mang Pun.
*Computational multiscale methods for linear poroelasticity with high contrast.*Journal of Computational Physics, 395 (2019), pp. 286-297.
- Mengnan Li, Eric Chung and Lijian Jiang.
*A constraint energy minimizing generalized multiscale finite element method for parabolic equations.*SIAM Multiscale Modeling and Simulation, 17 (2019), pp. 996-1018.
- Eric Chung, Sara Pollock and Sai-Mang Pun.
*Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method.*Journal of Computational Physics, 393 (2019), pp. 59-73.
- Tak Shing Au Yeung, Eric T. Chung and Gunther Uhlmann.
*Numerical inversion of 3D geodesic X-ray transform arising from traveltime tomography.*SIAM Journal on Imaging Sciences, 12 (2019), pp. 1296-1323.
- Min Wang, Siu Wun Cheung, Eric Chung, Yalchin Efendiev,
Wing Tat Leung and Yating Wang.
*Prediction of discretization of GMsFEM using deep learning.*Mathematics, 7 (2019).
- Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev and Aleksey
Tyrylgin.
*A three-level multi-continua upscaling method for flow problems in fractured porous media.*Communications in Computational Physics, 27 (2020), pp.619-638.
- Jie Du, Yang Yang and Eric Chung.
*Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes.*BIT Numerical Mathematics, 59 (2019), pp. 853-876.
- Shubin Fu and Eric T. Chung.
*Constraint energy minimizing generalized multiscale finite element method for high-contrast linear elasticity problem.*Communications in Computational Physics, 27 (2020), pp.809-827.
- Shubin Fu, Kai Gao, Richard L. Gibson and Eric T. Chung.
*An efficient high-order multiscale finite-element method for frequency-domain elastic wave modeling.*Computational Geosciences, 23 (2019), pp. 997-1010.
- Shubin Fu, Eric Chung and Tina Mai.
*Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model.*Journal of Computational and Applied Mathematics, 359 (2019), pp. 153-165.
- Yanfang Yang, Shubin Fu and Eric T. Chung.
*A two-grid preconditioner with an adaptive coarse space for flow simulations in highly heterogeneous media.*Journal of Computational Physics, 391 (2019), pp. 1-13. [download] - Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Valentin Alekseev.
*Upscaling of the flow and heat transport problems in fractured geothermal reservoirs using nonlocal multicontinuum method.*Computational Geosciences, 23 (2019), pp. 1-15. [download] - Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung, Yating Wang
and Georgy Prokopev.
*Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media.*Journal of Computational and Applied Mathematics, 355 (2019), pp. 258-267.
- Eric T. Chung, Sai-Mang Pun and Zhiwen Zhang.
*An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations.*Journal of Computational and Applied Mathematics, 356 (2019), pp. 302-313. [download] - Maria Vasilyeva, Eric T. Chung, Wing Tat Leung, Yating Wang
and Denis Spiridonov.
*Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC).*Journal of Computational and Appplied Mathematics, 357 (2019), pp. 215-227. [download] - Robert Altmann, Eric Chung, Roland Maier, Daniel Peterseim
and Sai-Mang Pun.
*Computational multiscale methods for linear heterogeneous poroelasticity.*Journal of Computational Mathematics, 38 (2020), pp. 41-57.
- Maria Vasilyeva, Masoud Babaei, Eric T. Chung and Denis Spiridonov.
*Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications.*Applied Mathematical Modeling, 67 (2019), pp. 159-178. [download] - Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev and Jihoon Kim.
*Constrained energy minimization based upscaling for coupled flow and mechanics.*Journal of Computational Physics, 376 (2019), pp. 660-674.
- Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*Generalized multiscale finite element methods with energy minimizing oversampling.*International Journal for Numerical Methods in Engineering, 117 (2019), pp. 316-343. [download] - Wing Tat Leung, Eric T. Chung, Yalchin Efendiev and Mary Wheeler.
*Nonlinear nonlocal multicontinua upscaling framework and its applications.*To appear in Internatinal Journal for Multiscale Computational Engineering.
- Eric T. Chung and Chak Shing Lee.
*A mixed generalized multiscale finite element method for planar linear elasticity.*Journal of Computational and Applied Mathematics, 348 (2019), pp. 298-313. [download] - Eric T. Chung, Yalchin Efendiev and Yanbo Li.
*Space-time multiscale model reduction for transport equations.*GEM International Journal on Geomathematics, 9 (2018), pp. 265-292.
- Eric T. Chung and Yanbo Li.
*Adpative generalized multiscale finite element methods for H(curl)-elliptic problems with heterogeneous coefficients.*Journal of Computational and Applied Mathematics, 345 (2019), pp. 357-373. [download] - Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Zhiwen Zhang.
*Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients.*Journal of Computational Physics, 371 (2018), pp. 606-617. [download] - Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang and
Maria Vasilyeva.
*Non-local multi-continua upscaling for flows in heterogeneous fractured media.*Journal of Computational Physics, 372 (2018), pp. 22-34. [download] - Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*An adaptive generalized multiscale discontinuous Galerkin method for high-contrast flow problems.*SIAM Multiscale Modeling and Simulation, 16 (2018), pp. 1227-1257. [download] - Eric Chung, Yalchin Efendiev, Wing Tat Leung and Shuai Ye.
*Generalized multiscale finite element methods for space-time heterogeneous parabolic equations.*Computers and Mathematics with Applications, 76 (2018), pp. 419-437. [download] - Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*Constraint energy minimizing generalized multiscale finite element method.*Computer Methods in Applied Mechanics and Engineering, 339 (2018), pp. 298-319. [download] - Jie Du and Eric Chung.
*An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation.*Journal of Scientific Computing, 77 (2018), pp. 1490-1518. [download] - Fuchen Chen, Eric Chung and Lijian Jiang.
*Adaptive least-squares generalized multiscale finite element method.*SIAM Multiscale Modeling and Simulation, 16 (2018), pp. 1034-1058. [download] - Yanfang Yang, Eric T. Chung and Shubin Fu.
*Residual driven online mortar mixed finite element methods and applications.*Journal of Computational and Applied Mathematics, 340 (2018), pp. 318-333. [download] - Jie Du, Eric T. Chung, Ming Fai Lam and Xiao-Ping Wang.
*Discontinuous Galerkin method with staggered hybridization for a class of nonlinear Stokes equations.*Journal of Scientific Computing, 76 (2018), pp. 1547-1577. [download] - Hyea Hyun Kim, Eric Chung and Junxian Wang.
*BDDC and FETI-DP algorithms with a change of basis formulation on adaptive primal constraints.*Electronic Transactions on Numerical Analysis, 49 (2018), pp. 64-80. [download] - Eric T. Chung, Yalchin Efendiev, Bangti Jin, Wing Tat Leung
and Maria Vasilyeva.
*Generalized multiscale inversion for heterogeneous problems.*Communications in Computational Physics, 25 (2019), pp. 1213-1234. [download] - Eric T. Chung, Yalchin Efendiev and Wing Tat Leung.
*Fast online generalized multiscale finite element method using constraint energy minimization.*Journal of Computational Physics, 355 (2018), pp. 450-463. [download] - Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*Constraint energy minimizing generalized multiscale finite element method in the mixed formulation.*Computational Geosciences, 22 (2018), pp. 677-693. [download] - Kai Gao, Shubin Fu and Eric T. Chung.
*A high-order multiscale finite-element method for time-domain acoustic-wave modeling.*Journal of Computational Physics, 360 (2018), pp. 120-136. [download] - Kai Gao, Shubin Fu and Eric T. Chung.
*An efficient multiscale finite-element method for frequency-domain seismic wave propagation.*Bulletin of the Seismological Society of America, 108 (2018), pp. 966-982. [download] - Siu Wun Cheung and Eric T. Chung.
*An embedded SDG method for the convection-diffusion equation.*International Journal of Numerical Analysis and Modeling, 16 (2019), pp. 255-275. [download] - Pengfei Wang, Xinshi Chen, Cameron Goldbeck, Eric Chung
and Byung-Ho Kang.
*A distinct class of vesicles derived from the trans-Golgi mediates secretion of xylogalacturonan in the root border cell.*The Plant Journal, 92 (2017), pp. 596-610.
- Eric T. Chung, Eun-Jae Park and Lina Zhao.
*Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method.*Journal of Scientific Computing, 75 (2018), pp. 1079-1101. [download] - Eric Chung, Wing Tat Leung, Maria Vasilyeva and Yating Wang.
*Multiscale model reduction for transport and flow problems in perforated domains.*Journal of Computational and Applied Mathematics, 330 (2018), pp. 519-535. [download] - Hyea Hyun Kim, Eric T. Chung and Junxian Wang.
*BDDC and FETI-DP algorithms with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients.*Journal of Computational Physics, 349 (2017), pp. 191-214. [download] - Eric Chung, Chi Yeung Lam and Jianliang Qian.
*A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media.*Journal of Computational Physics, 348 (2017), pp. 660-682. [download] - Siu Wun Cheung, Eric Chung and Hyea Hyun Kim.
*A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method.*Journal of Scientific Computing, 74 (2018), pp. 1423-1456. [download] - Eric Chung, Jie Du and Chi Yeung Lam.
*Discontinuous Galerkin methods with staggered hybridization for linear elastodynamics.*Computers and Mathematics with Applications, 74 (2017), pp. 1198-1214. [download] - Eric Chung, Sara Pollock and Sai-Mang Pun.
*Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media.*Computer Methods in Applied Mechanics and Engineering, 323 (2017), pp. 151-173. [download] - Eric T. Chung, Shubin Fu and Yanfang Yang.
*An enriched multiscale mortar space for high contrast flow problems.*Communications in Computational Physics, 23 (2018), pp. 476-499. [download] - Eric T. Chung, Maria Vasilyeva and Yating Wang.
*A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains.*Journal of Computational and Applied Mathematics, 321 (2017), pp. 389-405. [download] - Manal Alotaibi and Eric Chung.
*Global-local model reduction for heterogeneous Forchheimer flow.*Journal of Computational and Applied Mathematics, 321 (2017), pp. 160-184. [download] - Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Maria Vasilyeva.
*Coupling of multiscale and multi-continuum approaches.*GEM International Journal on Geomathematics, 8 (2017), pp. 9-41. [download] - Eric T. Chung and Weifeng Qiu.
*Analysis of a SDG method for the incompressible Navier-Stokes equations.*SIAM Journal on Numerical Analysis, 55 (2017), pp. 543-569. [download] - Eric Chung, Yalchin Efendiev, Richard Gibson and Wing Tat Leung.
*Residual-driven online multiscale methods for acoustic-wave propagation in 2D heterogeneous media.*Geophysics, 82 (2017), pp. T69-T77. [download] - Eric T. Chung, Yalchin Efendiev, Ke Shi and Shuai Ye.
*A multiscale model reduction method for nonlinear monotone elliptic equations in heterogeneous media.*Networks and Heterogeneous Media, 12 (2017), pp 619-642.
- Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva and Yating Wang.
*A multiscale discontinuous Galerkin method in perforated domains.*Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan.
- Fuchen Chen, Eric Chung and Lijian Jiang.
*Least-squares mixed generalized multiscale finite element method.*Computer Methods in Applied Mechanics and Engineering, 311 (2016), pp. 764-787. [download] - Hyea Hyun Kim, Eric T. Chung and Chenxiao Xu.
*A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillatory coefficients.*Journal of Computational and Applied Mathematics, 311 (2017), pp. 599-617. [download] - Eric T. Chung, Jie Du and Man Chun Yuen.
*An adaptive SDG method for the Stokes system.*Journal of Scientific Computing, (2016), pp. 1-27. [download] - Ho Yuen Chan, Eric T. Chung and Yalchin Efendiev.
*Adaptive mixed GMsFEM for flows in heterogeneous media.*Numerical Mathematics: Theory, Methods and Applications, 9 (2016), pp. 497-527. [download] - Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
and Maria Vasilyeva.
*Re-iterated multiscale model reduction using the GMsFEM.*International Journal for Multiscale Computational Engineering, 14 (2016), pp. 535-554. [download] - Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva
and Yating Wang.
*Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains.*Applicable Analysis, (2016). [download] - Wensheng Zhang, Yuan Zhuang and Eric T. Chung.
*A new spectral finite volume method for elastic wave modeling on unstructured meshes.*Geophysical Journal International, 206 (2016), pp. 292-307. [download] - Eric T. Chung, Yalchin Efendiev and Wing Tat Leung.
*An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flow in heterogeneous media.*Communications in Computational Physics, 21 (2017), pp. 401-422. [download] - Eric Chung, Yalchin Efendiev and Thomas Y. Hou.
*Adaptive multiscale model reduction with generalized multiscale finite element methods.*Journal of Computational Physics, 320 (2016), pp. 69-95. [download] - Eric T. Chung and Wing Tat Leung.
*Mixed GMsFEM for the simulation of waves in highly heterogeneous media.*Journal of Computational and Applied Mathematics, 306 (2016), pp. 69-86. [download] - Eric Chung, Wing Tat Leung and Maria Vasilyeva.
*Mixed GMsFEM for second order elliptic problem in perforated domains.*Journal of Computational and Applied Mathematics, 304 (2016), pp. 84-99. [download] - Hyea Hyun Kim, Eric T. Chung and Chi Yeung Lam.
*Mortar formulation for a class of staggered discontinuous Galerkin methods.*Computers and Mathematics with Applications, 71 (2016), pp. 1568-1585. [download] - Victor Calo, Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*Multiscale stabilization for convection-dominated diffusion in heterogeneous media.*Computer Methods in Applied Mechanics and Engineering, 304 (2016), pp. 359-377. [download] - Eric Chung, Yalchin Efendiev, Richard L. Gibson and Maria Vasilyeva.
*A generalized multiscale finite element method for elastic wave propagation in fractured media.*GEM International Journal on Geomathematics, (2016), pp. 1-20. [download] - Eric Chung, Yalchin Efendiev, Tat Wing Leung and Guanglian Li.
*Sparse generalized multiscale finite element methods and their applications.*International Journal for Multiscale Computational Engineering, 14 (2016), pp. 1-23. [download] - Longfei Gao, Xiaosi Tan and Eric T. Chung.
*Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique.*Journal of Computational and Applied Mathematics, 300 (2016), pp. 183-191. [download] - Eric T. Chung, Wing Tat Leung and Sara Pollock.
*Goal-oriented adaptivity for GMsFEM.*Journal of Computational and Applied Mathematics, 296 (2016), pp. 625-637. [download] - Eric Chung, Bernardo Cockburn and Guosheng Fu.
*The staggered DG method is the limit of a hybridizable DG method. Part II: The Stokes flow.*Journal of Scientific Computing, 66 (2016), pp. 870-887. [download] - Eric T. Chung, Yalchin Efendiev, Wing Tat Leung and Jun Ren.
*Multiscale simulations for coupled flow and transport using the generalized multiscale finite element method.*Computation, 3 (2015), pp. 670-686. [download] - Siu Wun Cheung, Eric Chung, Hyea Hyun Kim and Yue Qian.
*Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations.*Journal of Computational Physics, 302 (2015), pp. 251-266. [download] - Eric T. Chung, Yalchin Efendiev and Wing Tat Leung.
*Residual-driven online Generalized multiscale finite element methods.*Journal of Computational Physics, 302 (2015), pp. 176-190. [download] - Hyea Hyun Kim and Eric T. Chung.
*A BDDC algorithm with optimally enriched coarse spaces for two-dimensional elliptic problems with oscillatory and high contrast coefficients.*SIAM Multiscale Modeling and Simulation, 13 (2015), pp. 571-593. [download] - Eric T. Chung, Yalchin Efendiev, Guanglian Li and
Maria Vasilyeva.
*Generalized multiscale finite element methods for problems in perforated heterogeneous domains.*Applicable Analysis, (2015) [download] - Kai Gao, Shubin Fu, Richard L Gibson, Eric T. Chung
and Yalchin Efendiev.
*Generalized multiscale finite element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media.*Journal of Computational Physics, 295 (2015), pp. 161-188. [download] - Kai Gao, Eric T. Chung, Richard L. Gibson, Shubin Fu
and Yalchin Efendiev.
*A numerical homogeneization method for heterogenous, anisotropic elastic media based on multiscale theory.*Geophysics, 80 (2015), pp. D385-D401. [download] - Eric T. Chung, Chi Yeung Lam and Jianliang Qian.
*A staggered discontinuous Galerkin method for the simulation of seismic waves with surface topography.*Geophysics, 80 (2015), pp. T119-T135. [download] - Eric Chung, Yalchin Efendiev and Chak Shing Lee.
*Mixed generalized multiscale finite element methods and applications.*SIAM Multiscale Modeling and Simulation, 13 (2015), pp. 338-366. [download] - Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*Generalized multiscale finite element method for wave propagation in heterogeneous media.*SIAM Multiscale Modeling and Simulation, 12 (2014), pp. 1691-1721. [download] - Liuqiang Zhong, Eric T. Chung and Chunmei Liu.
*Fast Solvers for the symmetric IPDG discretization of second order elliptic problems.*International Journal of Numerical Analysis and Modeling, 12 (2015), pp. 455-475. [download] - Hiu Ning Chan and Eric T. Chung.
*A staggered discontinuous Galerkin method with local TV regularization for the Burgers equation.*Numerical Mathematics: Theory, Methods and Applications, 8 (2015), pp. 451-474. [download] - Eric T. Chung and Tang Fei Yu.
*Staggered-grid spectral element methods for elastic wave simulations.*Journal of Computational and Applied Mathematics, 285 (2015), pp. 132-150. [download] - Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee.
*FETI-DP preconditioners for a staggered discontinuous Galerkin formulation of the two-dimensional Stokes problem.*Computers and Mathematics with Applications, 68 (2014), pp. 2233-2250. [download] - Eric T. Chung, Yalchin Efendiev and Shubin Fu.
*Generalized multiscale finite element method for elasticity equations.*GEM International Journal on Geomathematics, 5 (2014), pp. 225-254. [download] - Eric Chung, Man Chun Yuen and Liuqiang Zhong.
*A-posteriori error analysis for a staggered discontinuous Galerkin discretization of the time-harmonic Maxwell's equations.*Applied Mathematics and Computation, 237 (2014), pp. 613-631. [download] - Eric T. Chung, Yalchin Efendiev and Guanglian Li.
*An adaptive GMsFEM for high contrast flow problems.*Journal of Computational Physics, 273 (2014), pp. 54-76. [download] - Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee.
*A BDDC algorithm for a class of staggered discontinuous Galerkin methods.*Computers and Mathematics with Applications, 67 (2014), pp. 1373-1389. [download] - Eric Chung, Bernardo Cockburn and Guosheng Fu.
*The staggered DG method is the limit of a hybridizable DG method.*SIAM Journal on Numerical Analysis, 52 (2014), pp. 915-932. [download] - Richard L. Gibson, Kai Gao, Eric Chung and Yalchin Efendiev.
*Multiscale modeling of acoustic wave propagation in two-dimensional media.*Geophysics, 79 (2014), pp. T61-T75. [download] - Eric T. Chung and Hyea Hyun Kim.
*A deluxe FETI-DP algorithm for a hybrid staggered discontinuous Galerkin method for H(curl)-elliptic problems.*International Journal for Numerical Methods in Engineering, 98 (2014), pp. 1-23. [download] - Wensheng Zhang, Eric T. Chung and Chaowei Wang.
*Stability for imposing absorbing boundary conditions in the finite element simulation of acoustic wave propagation.*Journal of Computational Mathematics, 32 (2014), pp. 1-20. [download] - Hyea Hyun Kim, Eric T. Chung and Chak Shing Lee.
*A staggered discontinuous Galerkin method for the Stokes system.*SIAM Journal on Numerical Analysis, 51 (2013), pp. 3327-3350. [download] - Wensheng Zhang, Li Tong and Eric Chung.
*A hybrid finite difference/control volume method for the three dimensional poroelastic wave equations in the spherical coordinate system.*Journal of Computational and Applied Mathematics, 255 (2014), pp. 812-824. [download] - Wensheng Zhang, Li Tong and Eric T. Chung.
*Exact nonreflecting boundary conditions for three dimensional poroelastic wave equations.*Communications in Mathematical Sciences, 12 (2014), pp. 61-98. [download] - Eric T. Chung and Jeff C. F. Wong.
*A TV-based iterative regularization method for the solutions of thermal convection problems.*Communications in Computational Physics, 14 (2013), pp. 1120-1146. [download] - Eric T. Chung, Hyea Hyun Kim and Olof Widlund.
*Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method.*SIAM Journal on Numerical Analysis, 51 (2013), pp. 47-67. [download] - Eric T. Chung, Patrick Ciarlet Jr. and Tang Fei Yu.
*Convergence and superconvergence of staggered discontinuous Galerkin methods for the three-dimensional Maxwell's equations on Cartesian grids.*Journal of Computational Physics, 235 (2013), pp. 14-31. [download] - Eric T. Chung and Wing Tat Leung.
*A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems.*Communications in Computational Physics, 14 (2013), pp. 370-392. [download] - Eric T. Chung and Patrick Ciarlet Jr.
*A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials.*Journal of Computational and Applied Mathematics, 239 (2013), pp. 189-207. [download] - Hiu Ning Chan, Eric T. Chung and Gary Cohen.
*Stability and dispersion analysis of staggered discontinuous Galerkin method for wave propagation.*International Journal of Numerical Analysis and Modeling, 10 (2013), pp. 233-256. [download] - Eric T. Chung and Chak Shing Lee.
*A staggered discontinuous Galerkin method for the convection-diffusion equation.*Journal of Numerical Mathematics, 20 (2012), pp. 1-31. [download] - Eric T. Chung and Chak Shing Lee.
*A staggered discontinuous Galerkin method for the curl-curl operator.*IMA Journal on Numerical Analysis, 32 (2012), pp. 1241-1265. [download] - Wensheng Zhang, Li Tong and Eric T. Chung.
*Efficient simulation of wave propagation with implicit finite difference schemes.*Numerical Mathematics: Theory, Methods and Applications, 5 (2012), pp. 205-228. [download] - Wensheng Zhang, Li Tong and Eric T. Chung.
*A new high accuracy locally one-dimensional scheme for the wave equation.*Journal of Computational and Applied Mathematics, 236 (2011), pp. 1343-1353. [download] - Eric T. Chung, Jianliang Qian, Gunther Uhlmann and Hongkai Zhao.
*An adaptive phase space method with application to reflection traveltime tomography.*Inverse Problems, 27 (2011), 115002. [download] - Eric T. Chung, Yalchin Efendiev and Richard L. Gibson.
*An energy-conserving discontinuous multiscale finite element method for the wave equation in heterogeneous media.*Advances in Adaptive Data Analysis, 3 (2011), pp. 251-268. [download] - Eric T. Chung and Yalchin Efendiev.
*Reduced-contrast approximations for high-contrast multiscale flow problems.*SIAM Multiscale Modeling and Simulation, 8 (2010), pp. 1128-1153. [download] - Eric T. Chung and Bjorn Engquist.
*Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions.*SIAM Journal on Numerical Analysis, 47 (2009), pp. 3820-3848. [download]
- Eric Chung, Jianliang Qian, Gunther Uhlmann and Hong-kai Zhao.
*A new phase space method for recovering index of refraction from travel times.*Inverse Problems, 23 (2007), pp. 309-329. [download]
- Eric T. Chung and Bjorn Engquist.
*Optimal discontinuous galerkin methods for wave propagation.*SIAM Journal on Numerical Analysis, 44 (2006), pp. 2131-2158. [download]
- Eric T. Chung, Tony F. Chan and Xue Cheng Tai.
*Electrical impedance tomography using level set representation and total variational regularization.*Journal of Computational Physics, 205 (2005), pp. 357-372 [download]
- Eric T. Chung and Bjorn Engquist.
*Convergence analysis of fully discrete finite volume methods for Maxwell's equations in nonhomogeneous media.*SIAM Journal on Numerical Analysis, 43 (2005), pp. 303-317. [download]
- Eric T. Chung, Qiang Du and Jun Zou.
*Convergence analysis on a finite volume method for Maxwell's equations in non-homogeneous media.*SIAM Journal on Numerical Analysis, 41 (2003), pp. 37-63. [download]
- Eric T. Chung and Jun Zou.
*The eigenvalues and eigenspaces of some discrete div- and curl-related operators.*SIAM Journal on Matrix Analysis and Application, 24 (2003), pp. 1149-1160. [download]
- T. S. Chung and J. Zou.
*A finite volume method for Maxwell's equations with discontinuous physical coefficients.*Int. J. Appl. Math., 7 (2001), pp. 201-224. [download]
Refereed Conference Proceeding: - Tak Shing Au Yeung and Eric Chung.
*Multiscale model reduction for a class of optimal control problems with highly oscillating coefficients.*Domain Decomposition Methods in Science and Engineering XXVI.
- Yiran Wang, Eric Chung and Shubin Fu.
*Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM.*LNCS 12143 Proceedings.
- Jingyan Zhang, Siu Wun Cheung, Yalchin Efendiev, Eduardo Gildin
and Eric T. Chung.
*Deep model reduction model learning for reservoir simulation.*SPE Proceeding 193912.
- Wing T. Leung, Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva
and Mary Wheeler.
*Nonlinear upscaling of two-phase flow using non-local multi-continuum approach.*SPE Proceeding 193889.
- Hyea Hyun Kim, Eric T. Chung and Junxian Wang.
*A two-level overlapping Schwarz method using energy minimizing multiscale finite element functions.*Domain Decomposition Methods in Science and Engineering XXV.
- Juan Galvis, Eric Chung, Yalchin Efendiev and Wing Tat Leung.
*On overlapping domain decompositon methods for high-contrast multiscale problems.*Domain Decomposition Methods in Science and Engineering XXIV, (2018), pp. 45-57.
- Hyea Hyun Kim, Eric T. Chung and Junxian Wang.
*Adaptive BDDC and FETI-DP methods with change of basis formulation.*Domain Decomposition Methods in Science and Engineering XXIV, (2018), pp. 445-453.
- Eric T. Chung, Ming Fai Lam and Chi Yeung Lam.
*A staggered discontinuous Galerkin method for a class of nonlinear elliptic equations.*ICOSAHOM 2016 Proceedings.
- Eric T. Chung, Oleg Iliev and Maria V. Vasilyeva.
*Generalized multiscale finite element method for non-Newtonian fluid flow in perforated domain.*AIP Conference Proceedings 1773, 100001 (2016). [download] - Hyea Hyun Kim, Eric T. Chung and Junxian Wang.
*BDDC and FETI-DP methods with enriched coarse spaces for elliptic problems with oscillatory and high contrast coefficients.*Domain Decomposition Methods in Science and Engineering XXIII, (2017), pp. 179-186. [download] - Eric Chung, Chi Yeung Lam and Jianliang Qian.
*A Neumann series based method for photoacoustic tomography on irregular domains.*Contemporary Mathematics, 615 (2014), pp. 89-103. - Kai Gao, Eric Chung, Richard Gibson, Yalchin Efendiev and Shubin Fu.
*A multiscale method for elastic wave equation modeling.*SEG Annual meeting, Expanded Abstract, 2013. - Eric Chung, Yalchin Efendiev, Richard L. Gibson and Wing Tat Leung.
*Generalized multiscale finite element modeling of acoustic wave propagation.*SEG Annual meeting, Expanded Abstract, 2013. - Eric Chung, Yalchin Efendiev and Richard Gibson.
*Multiscale finite element modeling of acoustic wave equation.*SEG Annual meeting, Expanded Abstract 2011. - Eric T. Chung and Patrick Ciarlet, Jr.
*Scalar transmission problems between dielectrics and metamaterials: T-coercivity and the discontinuous Galerkin approach.*The 10th international conference on mathematical and numerical aspects of waves, Simon Fraser University, 2011 - Eric Chung, Gunther Uhlmann, Jianliang Qian and Hongkai Zhao.
*A phase-space formulation for elastic-wave traveltime tomography.*2008 J. Phys.: Conf. Ser. 124 012018 [download] - Eric T. Chung and Bjorn Engquist.
*A new discontinuous Galerkin method for Maxwell's equations.*The 8th US national congress on computational mechanics, University of Texas at Austin, 2005 - Eric T. Chung and Bjorn Engquist.
*Staggered grid discontinuous Galerkin methods for Maxwell's equations.*The 7th international conference on mathematical and numerical aspects of waves, Brown University, 2005
Address: Eric T. Chung Department of Mathematics Room 220, Lady Shaw Building The Chinese University of Hong Kong Hong Kong email: tschung@math.cuhk.edu.hk |